Least Common Multiple (LCM) of 110 and 37
The least common multiple (LCM) of 110 and 37 is 4070.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 110 and 37?
First, calculate the GCD of 110 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 37 = 2 remainder 36 |
| 2 | 37 ÷ 36 = 1 remainder 1 |
| 3 | 36 ÷ 1 = 36 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 54 | 8046 |
| 150 and 69 | 3450 |
| 137 and 150 | 20550 |
| 126 and 108 | 756 |
| 144 and 180 | 720 |